Question

Reenu got $\frac{2}{7}$ part of an apple while Sonal got $\frac{4}{5}$ part of it. Who got the larger part and by how much?

Answer 1

We will compare the given fractions $\frac{2}{7}\mathrm{and}\frac{4}{5}$ in order to know who got the larger part of the apple.
We have,
By cross multiplication, we get:
2 $\times$ 5 = 10 and 4 $\times$ 7 = 28

However, 10 < 28
∴ $\frac{2}{7}<\frac{4}{5}$
Thus, Sonal got the larger part of the apple.

Now, $\frac{4}{5}-\frac{2}{7}=\frac{28-10}{35}=\frac{18}{35}$

∴ Sonal got $\frac{18}{35}$ part of the apple more than Reenu.